Abstract
Integration of systems of ODEs by seeking first integrals is studied. The connection with first-order PDEs is examined. The integration of a system of linear ODEs is seen to reduce to an eigenvalue problem.
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References
Elsgolts, L.: Differential Equations and the Calculus of Variations. Mir Publishers (1977)
Zachmanoglou, E.C., Thoe, D.W.: Introduction to Partial Differential Equations with Applications. Dover (1986)
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Papachristou, C.J. (2019). Systems of Ordinary Differential Equations. In: Aspects of Integrability of Differential Systems and Fields. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-35002-4_4
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DOI: https://doi.org/10.1007/978-3-030-35002-4_4
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